Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern

The problem considered is that of determining the shape of a plane acoustically sound-soft obstacle from the knowledge of the far-field pattern for one time-harmonic incident field. An iterative procedure is proposed based on two boundary integrals representing the incident field and the far-field p...

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Bibliographic Details
Published in:IMA journal of applied mathematics 2007-02, Vol.72 (1), p.96-112
Main Authors: Johansson, Tomas, Sleeman, Brian D.
Format: Article
Language:English
Subjects:
Acoustics
Exact sciences and technology
far-field pattern
Fundamental areas of phenomenology (including applications)
inverse scattering
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Partial differential equations
Physics
Sciences and techniques of general use
sound soft
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Summary:The problem considered is that of determining the shape of a plane acoustically sound-soft obstacle from the knowledge of the far-field pattern for one time-harmonic incident field. An iterative procedure is proposed based on two boundary integrals representing the incident field and the far-field pattern, respectively. Numerical examples are included which show that the procedure gives accurate numerical approximations in relatively few iterations.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/hxl026